23564064 has 48 divisors (see below), whose sum is σ = 62112960. Its totient is φ = 7822080.

The previous prime is 23564039. The next prime is 23564071. The reversal of 23564064 is 46046532.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×23564064² = 1110530224392192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37029 + ... + 37659.

It is an arithmetic number, because the mean of its divisors is an integer number (1294020).

Almost surely, 2^23564064 is an apocalyptic number.

23564064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23564064 is an abundant number, since it is smaller than the sum of its proper divisors (38548896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23564064 is a wasteful number, since it uses less digits than its factorization.

23564064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 23564064 is about 4854.2830572598. The cubic root of 23564064 is about 286.6927636839.

The spelling of 23564064 in words is "twenty-three million, five hundred sixty-four thousand, sixty-four".